Questions

10 The graph of a function f is given Estimate f x dx using five subintervals with a right endpoints b left end points and c midpoints y 1 0 1 48 X milar

Locate the circumcenter of each triangle 7 8

Locate the incenter of each triangle 15 210 16

3 If f x x 2 1 x 6 find the Riemann sum with n 5 correct to six decimal places taking the sample points to be midpoints What does the Riemann sum represent Illustrate with a diagram

10 Locate the circumcenter of each triangle

13 14

Inscribe a circle in each triangle 17 18

For each triangle construct all three perpendicular bisectors to show they are concurrent 11 12

The population of a certain state from 2000 to 2010 was recorded During that decade the state grew from 20 8 million in 2000 to 25 9 million in 2010 Use an exponential growth model to predict th population of the state in 2035 SZOD Let yt be the population of the state in millions t years after the year 2000 Give the exponential growth function for this state s population Type an expression Round coefficients to three decimal places as needed

B A B Construct the perpendiculer bisector of side AB of each triangle

A rectangular field whose area is 10800 square feet is to be divided into three parts as shown Fencing must be used on all sides of the field as well as for the internal dividers length i width a If w represents the width of the field the amount of fencing required is given by P w 10800 3w

Find the area of the region in the first quadrant bounded by the line y 5x the line x 5 the curve y The total area of the region is and the x axis

For what range of values of x is the company s profit greater than 10 000 Round your values to the nearest integer Enter your answer using interval notatio units

The surface areas of the circular cylinder shown in the figure is given by S 2x 25 2x 5h 5 ft IH h ft Find the height h of the cylinder if the surface area is 628 square feet Use 3 14 for h ft

Find the magnitude and direction of each vector Round your answers to the nearest tenth 10 30

Based on the given table of data compute each of the following derivatives f g 4 18 f g 4 2 fx g 4 80 f g 4 5 4 f 4 7 A g 4 7 X X f 4 10 g 4 8

Rotations of Shapes Date Graph the image of the figure using the transformation given List the new vertices 1 rotation 180 about the origin H M Las Ay 3 rotation 90 clockwise about the origin Ay H HY 5 rotation 90 clockwise about the origin U 1 2 w 0 2 K 3 2 G 3 3 Ay x Name 7 rotation 180 about the origin z 1 5 K 1 0 C 1 1 N 3 2 9 rotation 90 clockwise about the origin 2 rotation 90 counterclockwise about the origin 4 rotation 180 about the origin Ay 6 rotation 180 about the origin v 2 0 S 1 3 G 5 0 Ay x Find the coordinates of the vertices of each figure after the given transformation List the new Vertices 8 rotation 180 about the origin L 1 3 Z 5 5 F 4 2 Period 10 rotation 180 about the origin OVER

How does natural selection influence which traits are passed on to future generations OA Traits that increase the diversity of the population are more likely to be inherited B Traits that help organisms survive in their environment are more likely to be inherited C The traits that are more common will always be more beneficial OD Traits are randomly passed on from parents to offspring

Given the following function prove or dissaprove that function is One to one injective and that it is not Onta subjective Remark that a counterexample is NOT ENOUGH You should explain every step in your solution f Z ZXZ f n 2n n 3

23 Explain what happens to erythrocytes after they become old and break hint what happens to hemoglobin after erythrocytes are broken down

20 Which blood type is the universal donor Why 21 Which blood type is the universal recipient Why 22 Explain the process of hemostasis hint it has three parts

17 Type B blood carries B antibodies and B antigens A antibodies and B antigens B antibodies and A antigens d None of the above a b c 18 Type AB blood carries a A antibodies B antibodies no antigens b A antigens B antigens no antibodies c A antibodies B antibodies A antigens B antigens d None of the above 19 Type O blood carries a A antibodies b antibodies no antigens b No antibodies A antigens B antigens c No antibodies no antigens d None of the above

1 Find the quadratic the fits the table values X y 4 3 2 3 0 6 2 6 st 4 3

Match the following types of white blood cells to their function 10 neutrophils 11 albumins 12 globulins 13 fibrinogen 14 granular 15 agranular a lack a lobed nucleus b important for blood clots c include basophil and eosinophil d important in fighting disease causing pathogens e phagocytes respond first to infection f most common and important plasma protein

State whether the following characteristics describe rbc wbc or platelets 3 also known as leukocytes 4 has an average life cycle of 120 days 5 also known as erythrocytes 6 donut shaped biconcave 7 contains hemoglobin to transport Oxygen 8 form from stem cells in red bone marrow 9 fight infection in the immune system

16 Type A blood carries b a A antibodies and A antigens A antibodies and B antigens B antibodies and A antigens d None of the above C

2 What are the three functions of the blood Give one example for each

Given B 5 1 Solve 4X B C X and C 11 1 17 8

Some hares have the same coat color all year long Others have white coats in the winter and brown coats in the summer Variations in their influence when individuals begin to grow the different coat colors A region genes with snowy winters has started experiencing later arrival of snow Which type of hare is most likely to increase in future generations of the population A Hares that grow a brown coat earlier in the spring B Hares that have a white coat all year C Hares that grow a white coat later in the fall D Hares that have a brown coat all year

Identity Cultural Narrative 10 pts For this first writing assignment students will reflect on how race ethnicity language culture gender sex and sexuality have shaped their identity Some essential questions to stimulate student s intellectual curiosity Personal Identity How do you define your identity and What aspects of your identity do you feel most connected to Cultural Background What cultural traditions or practices are significant to you and community Language and Communication How does language play a role in your identity and How do you navigate communication in socially and linguistically diverse settings Social Justice and Advocacy Are there social justice issues that align with your social locations race class gender and sexuality to name some and How do you engage in advocacy for historically marginalized communities Writing expectations and conventions This assignment must be two pages long double spaced with one inch margins and typed using 12 font Times New Roman Please ensure you follow the above formatting instructions outlined in this assignment Please proofread for writing challenges grammar punctuation and NED 00107

What is sin 60 3 B 3 O A Na Sl O C 1 O D 3 OE 1 2 E OF 5

D 0 938 0 938 6 8n 9 521 A 8 8 265 B 4 265 2 C D 8 265 4 8 4a 4 8 A 4 4 C 3 265 2 B 1 D 1 1

In triangle ABC m A 35 mZB 65 and a 8 71 Use the law of sines to find b Round your answer to the nearest tenth A 8 7 B 9 5 C 13 8 D 23 7

Let v 2 6 and w 12 4 Which of the following is true A V and w are perpendicular B The x component of v is 6e C w 4 3 1 D v w 48

the following exercises about continuity Do not forget to check the right limit as well as the left limit when necessary a Determine if the function f x 2r 3x 1 is continuous at x 2 b Investigate the continuity of the function g x at x 2 c Check the continuity of the function h r x 3 at x 3 2 if r 0 d Investigate the continuity of the function f x 1 if 0 x 1 at ifr 1 sin r r 1 e Check the continuity of the function g r x T f Determine if the function h r T 2 r if x 0 0 if r 0 is continuous at r 0 if x 0 g Check the continuity of the function j x 4x 5 if r 0 if 0 at if x 2 T h Investigate the continuity of the function f x T 0 if r 2 if x 2 at r 2 r sin r if x 0 if r 0 at

Question Use integration by parts to find 4x cos 9x dx Select the correct answer below Oxsin 9x xcos 9x sin 9x C 81 xsin 9x xcos 9x sin 9x C Oxsin 9x xcos 9x sin 9x C ain 9x xeos 9x sin 9x C 8

Question A tank in the shape of an inverted cone has a height of 9 feet and a base radius of 6 feet The tank is full of water Ho much work is required to pump the water over the upper edge of the tank until the height of the water remaining in tank is 3 feet Round to the nearest integer Note The weight density of water is 62 4 lb ft

Parallelogram 1 2 3 5 the transformed parallelogram land in OAI OB II O c III OD IV is transformed using 1 0 Which quadrant does

Calculate the length a to two decimal places B 7 B 117 OA 13 68 OB 14 87 O C 187 2 OD 15 A 9 C

024 48 CI 669749 1 2 9 Which statement could be used to explain why f x 2x 3 has an inverse relation that is a function O The graph of f x passes the vertical line test O f x is a one to one function O The graph of the inverse of f x passes the horizontal line test Of x is not a function

1 2 The function h x is given below h x 3 5 5 7 6 9 10 12 12 16 Which of the following gives h x O 3 5 5 7 6 9 10 12 12 16 O 5 3 7 5 9 6 12 10 16 12 O 3 5 5 7 6 9 10 12 12 16 O 5 3 7 5 9 6 12 10 16 12

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 22 ft s Its height in feet after t seconds is given by y 22t 17t Find the average velocity for the time period beginning when t 1 and lasting 01 s Hint This first interval of time is 1 1 01 1 1 01 005 s 002 s 001 s NOTE For the above answers use the exact coordinates for the points You can round your final result to 4 decimal places Estimate the instantaneous velocity when t 1

Which function is the inverse of f x 2x 3 O 05 x 1 2 x 1 0 0 x 2x 3 Of x 2x 3

If f x 5x what is f x O f x 5x O f x O f x O f x 5x 1 X

f lim o sin x cos 2 0

g limx x cos 1

Given f x find the average rate of change of f x on the interval 3 3 h Your answer will be an expression involving h and must be simplified I x 1 14h 169 1 11

8 10 THE What is the first step in adding fractions when denominators are different A Find the least common multiple of the denominators That number is the least common denominator LCD OB Add the numerators keeping the same denominators n OC Multiply by 1 using an appropriate notation to express each number in terms of the LCD OD Simplify if possible The LCD is

Find the value of each variable Answers should be in simplest radical form 26 27 8 45 y X 450 21 60 X 30 28 450 12 y 459 X

What is the approximate value of sin B B 7 A 17 46 16 OA 2 29 OB 1 09 OC 0 40 OD 0 92